(Also: I don’t Imagine the notion of “very low helpful parameterisation†truly captures what’s happening right here, but for The rationale you indicate by yourself.)
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I agree this arguably might be mildly deceptive. One example is, the correspondence concerning SGD and Bayesian sampling only actually holds for many initialisation distributions. In case you deterministically initialise your neural network for the origin (i.
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I feel I would've predicted that SGD vs. random research might have a reasonably nominal impact on inductive biases. My pet idea for why neural nets Use a bias towards simplicity is there are far more ways for neural nets to encode basic functions than complex capabilities, i.e. more substantial regions of parameter Room for easy features.
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As an example, in case you have a look at Figure six within the put up I url, you could see that various versions of SGD do offer a rather distinct inductive bias. Even so, this impact appears to be pretty small relative to what is provided by the "prior".
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